NDA Previous Year Question Papers (NDA 1 & 2) with Solutions

Download NDA previous year question papers for both NDA 1 and NDA 2 exam cycles, complete with answer keys and step-by-step solutions for Mathematics and the General Ability Test (GAT). This page covers year-wise papers, the exact marking scheme, subject-wise weightage trends, and a practice strategy used by candidates who've cleared the written cutoff.

NDA (National Defence Academy) is a UPSC-conducted entrance exam for the Army, Navy, and Air Force wings, held twice a year (NDA 1 and NDA 2). Around 4-6 lakh candidates appear per cycle for roughly 400 vacancies, making disciplined PYQ practice one of the highest-leverage things a candidate can do before the SSB interview stage.

Quick Facts

Download NDA Previous Year Question Papers

Use the Previous Year Papers tab above to search and filter every available NDA question paper by subject (Mathematics / GAT) and year, with direct PDF downloads and inline solution viewers for each paper. The tab stays current as new papers are added, so it's a better source of truth than a static list for recent-year papers.

How to use it for fastest results:

1. Filter by Subject first if you're revising one paper (Maths or GAT).
2. Filter by Year if you want a specific cycle (e.g., the most recent NDA 2 paper).
3. Each paper opens with the question paper PDF and its answer key/solution side by side — no need to hunt for a separate answer-key link.

Note on official vs. unofficial answer keys: UPSC releases the official, final NDA answer key on upsc.gov.in only after the recruitment cycle (including SSB and medical stages) concludes — typically several months after the written exam. The answer keys and solutions provided alongside each paper here are prepared shortly after the exam based on the released question paper, so you can self-evaluate immediately rather than waiting months.

NDA Exam Pattern & Marking Scheme

NDA has two written papers — Mathematics and General Ability Test (GAT) — both objective type (MCQ), conducted on the same day.

Written exam total: 900 marks, combined with the SSB interview (900 marks) for a final merit total of 1800 marks.

Subject-Wise Weightage & Trends Observed from Past Papers

Analyzing the last several years of NDA PYQs shows a fairly consistent weightage pattern within each subject — useful for prioritizing revision time.

Mathematics (120 questions, 300 marks)

• Algebra & Trigonometry — consistently the highest-weightage combined block; expect 25-30+ questions across quadratic equations, complex numbers, and trigonometric identities/equations.
• Calculus (Differential + Integral) — the second-largest block, usually 20-25 questions; limits, continuity, differentiation applications, and basic integration recur every cycle.
• Vectors, Matrices & Determinants — steady 12-18 question range; largely formula-and-application based, making this a high-accuracy, low-time-cost section.
• Statistics & Probability — smaller but reliable, typically 8-12 questions; basics of mean/median/mode, permutations-combinations, and elementary probability.
• Analytical Geometry (2D & 3D) — 15-20 questions; straight lines, circles, and 3D coordinate geometry basics.

General Ability Test — English (200 marks)

• Grammar/usage and vocabulary questions dominate over pure comprehension in most recent papers — spotting-errors and fill-in-the-blank formats recur heavily.
• Reading comprehension passages are shorter than in civil-services-style exams but test vocabulary-in-context.

General Ability Test — GK (400 marks)

• Physics and Chemistry together typically account for 35-40% of GK marks — these are the most "NCERT-predictable" sections and yield the best returns for time invested.
• Current Affairs and General Science questions have grown in relative share in recent cycles, reflecting UPSC's shift toward testing awareness of recent national/international events over static GK.
• History and Geography stay fairly stable in weightage year over year, with a recurring emphasis on India's freedom movement and physical/economic geography of India.

Practical takeaway: Mathematics offers the best marks-per-minute return because its topics are narrower and its marking scheme rewards accuracy heavily (+2.5/-0.83 is a gentler penalty ratio than GAT's +4/-1.33). Most candidates who clear the written cutoff report spending 55-60% of prep time on Maths despite it carrying only a third of total marks.

How to Effectively Analyze and Practice NDA PYQs

Solving old papers without a system wastes their real value. Here's a step-by-step approach:

1. Start with a timed, full-length attempt. Solve one complete previous year paper (Maths or GAT) under real exam time conditions before looking at any solution. This establishes your honest baseline speed and accuracy.
2. Score it against the actual marking scheme, not just right/wrong count — apply the +2.5/-0.83 (Maths) or +4/-1.33 (GAT) scheme so your practice score reflects what you'd actually get on exam day.
3. Categorize every mistake into one of three buckets: (a) concept gap — you didn't know how to solve it, (b) silly/calculation error — you knew the method but slipped, (c) time pressure — you rushed or left it blank. Each bucket needs a different fix.
4. Track topic-wise accuracy across multiple years, not just a single paper's score. A single bad paper can be noise; a topic that shows up wrong across 3+ years of PYQs is a real gap worth targeted revision.
5. Re-attempt only the wrong questions after a gap of 1-2 weeks, without looking at the solution first. If you get it right the second time, the concept gap is closed; if not, it needs a fresh study pass, not just repetition.
6. In the final month, shift from "solving new papers" to "timed revision of previously wrong questions" across all the years you've covered — this compounds retention far better than solving one-off new papers close to the exam.
7. Simulate the full 5-hour exam day (both papers back-to-back with the actual break) at least twice in the final two weeks, using two different years' papers, to build stamina and manage fatigue-driven errors in the GAT paper's second half.

Eligibility

• Indian citizen, or a subject of Bhutan/Nepal, or a Tibetan refugee settled in India before January 1, 1962, or a Person of Indian Origin (PIO) who has migrated from specified countries with intent to settle permanently in India.
• Only unmarried male candidates are eligible (age and further eligibility conditions are notified separately by UPSC for each cycle — always confirm current-year criteria in the official notification).
• Date of birth must match the matriculation certificate.
• Educational qualification: 12th class pass for the Army wing; 12th class pass with Physics and Mathematics for Naval/Air Force wing candidates (candidates in the qualifying year of 12th may also apply, subject to the official notification's conditions).

NDA Syllabus (High-Level)

The written exam tests Mathematics and a broad General Ability Test spanning English, Physics, Chemistry, General Science, History, Geography, and Current Affairs.

Mathematics

Algebra, Trigonometry, Differential and Integral Calculus, Vector Algebra, Matrices and Determinants, Analytical Geometry (2D & 3D), Statistics, and Probability.

English

Vocabulary, Grammar and Usage, Comprehension and Cohesion in extended text.

General Knowledge

Physics, Chemistry, General Science, History and Freedom Movement, Geography, and Current Events — see the table below for how these blocks were historically weighted.

Following marks distribution has been observed in recent NDA cycles for the GK section:

• Physics — 100 marks
• Chemistry — 60 marks
• General Science — 40 marks
• History and Freedom Movement — 80 marks
• Geography — 80 marks
• Current Events — 40 marks

How to Apply for NDA

Applications are submitted online only via the UPSC website. NDA 1 notifications are typically released around December-January (exam in April) and NDA 2 around June-July (exam in September). Always cross-check exact dates on upsc.gov.in since they shift slightly each year. Keep your registration/Roll number, scanned photograph, signature, and category/educational certificates ready before starting the form, since corrections after submission are limited.

NDA Admit Card

The admit card is released on the official UPSC website roughly 3 weeks before the exam.

1. Go to the official UPSC website.
2. Log in using your Registration ID and Date of Birth.
3. Download and print the admit card — it is mandatory for exam-hall entry.
4. Verify your name, roll number, exam centre, and exam date on it as soon as it's released.

Result & Cutoff Trends

NDA results are declared on the official UPSC website as a PDF list of roll numbers, with cutoff marks published a few weeks later.

Cutoffs are out of 900 written marks and vary year to year based on paper difficulty and vacancies — treat these as directional trends, not a guaranteed target, and check the official UPSC notification for the latest declared cutoff each cycle.

Selection Process After the Written Exam

Clearing the written cutoff qualifies you for the SSB (Services Selection Board) interview, conducted over 5 days in two stages:

• Stage 1: Officer Intelligence Rating (OIR) test, Picture Perception and Description Test (PPDT).
• Stage 2: Group Testing Officer (GTO) tasks, Psychology tests, Personal Interview, and Conference.

Candidates recommended by SSB then undergo document verification and a medical examination before final merit list preparation (written + SSB marks out of 1800 total).

Preparation Tips

• Attempt full-length mock tests regularly under real time conditions — this is the single best predictor of your likely score if no further prep is done.
• Eliminate calculation and silly mistakes flagged in mock analysis; fixing these alone can add 15+ marks.
• Practice previous year papers systematically (see the step-by-step method above) rather than solving them passively.
• Sequence your GAT attempt strategically — many candidates start with Chemistry (shorter, more theory-based) to bank marks quickly before moving to longer Physics/Maths-heavy sections.
• Study strictly from NCERT textbooks (Classes 9-12) for Physics and Chemistry — NDA rarely goes beyond NCERT depth for these sections.

Recommended study material:

• Physics & Chemistry: NCERT textbooks, Classes 9th-12th.
• Mathematics: R.D. Sharma's Objective Mathematics (Parts 1 & 2) at NCERT difficulty level.
• General Knowledge: A current affairs digest updated monthly, alongside NCERT History/Geography.

Frequently Asked Questions

(See the FAQ accordion below for authoritative, schema-ready answers to the most common NDA PYQ questions — how many years to solve, where to find official answer keys, the marking scheme, and more.)

Life at NDA is built on discipline and self-improvement — solving these papers rigorously is one of the first tests of that discipline. Good luck to every future officer preparing for it.